(x-2)2x+4-(2)3x=2(x-2)x

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Solution for (x-2)2x+4-(2)3x=2(x-2)x equation: 


Simplifying
(x + -2) * 2x + 4 + -1(2) * 3x = 2(x + -2) * x

Reorder the terms:
(-2 + x) * 2x + 4 + -1(2) * 3x = 2(x + -2) * x

Reorder the terms for easier multiplication:
2x(-2 + x) + 4 + -1(2) * 3x = 2(x + -2) * x
(-2 * 2x + x * 2x) + 4 + -1(2) * 3x = 2(x + -2) * x
(-4x + 2x2) + 4 + -1(2) * 3x = 2(x + -2) * x

Multiply -1 * 2
-4x + 2x2 + 4 + -2 * 3x = 2(x + -2) * x

Multiply -2 * 3
-4x + 2x2 + 4 + -6x = 2(x + -2) * x

Reorder the terms:
4 + -4x + -6x + 2x2 = 2(x + -2) * x

Combine like terms: -4x + -6x = -10x
4 + -10x + 2x2 = 2(x + -2) * x

Reorder the terms:
4 + -10x + 2x2 = 2(-2 + x) * x

Reorder the terms for easier multiplication:
4 + -10x + 2x2 = 2x(-2 + x)
4 + -10x + 2x2 = (-2 * 2x + x * 2x)
4 + -10x + 2x2 = (-4x + 2x2)

Add '-2x2' to each side of the equation.
4 + -10x + 2x2 + -2x2 = -4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + -10x + 0 = -4x + 2x2 + -2x2
4 + -10x = -4x + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4 + -10x = -4x + 0
4 + -10x = -4x

Solving
4 + -10x = -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
4 + -10x + 4x = -4x + 4x

Combine like terms: -10x + 4x = -6x
4 + -6x = -4x + 4x

Combine like terms: -4x + 4x = 0
4 + -6x = 0

Add '-4' to each side of the equation.
4 + -4 + -6x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = 0 + -4
-6x = 0 + -4

Combine like terms: 0 + -4 = -4
-6x = -4

Divide each side by '-6'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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